\chapter{Glossary of Notation}
\section*{\tcb{Spaces}} 
Topological spaces $X,Y,Z$.\\
Open subsets $U,V,W$.\\
Topology $\tau$.\\
Projective and affine spaces $\PR^n,\AF^n$.\\
Varieties $\VV$.\\
Ideal of varieties $\II$.\\
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Points of ringed spaces $x,y,z$.\\
Points of affine or projective schemes $\gop,\goq$.\\
Closed points of schemes $\gom,\gon$.\\
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Continuous maps $f,g,h$\\
Morphisms of schemes $f,g,h$\\
Comorphisms of schemes $f^{\#},g^{\#},h^{\#}$\\
\section*{\tcb{Rings and Modules}}
Rings $A,B,C,R,S,T$.\\
Modules $M,N$.\\
Arbitrary fields $\kk$.\\
Fields of characteristic zero $\KK$.\\
Finite fields $\FF$.\\
Vector spaces $V,W$.\\
Number rings $\ZZ, \QQ, \RR, \CC$.\\
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Ideals of rings $\goa,\gob$.\\
Prime ideals $\gop,\goq$.\\
Maximal ideals $\gom,\gon$.\\
Nilradical of a ring $R$, $\rad R$
Jacobson radical of a ring $R$, $\Rad R$.
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Elements of rings $a,b,c,f,g,h$.\\
Invertible elements $u,v,w$.\\
Prime elements $p,q$.\\
Non-invertible elements $r,s,t$.\\
Elements of fields $k$.\\
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Morphisms of rings $\varphi,\vartheta$\\
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Indeterminate $x,y,z$.\\
\section*{\tcb{Categories}}
Categories $\bcC,\bcD$.\\
Functors $F,G$.\\
Natural transformation $\phi,\psi$.\\
The category of small sets $\Sets$.\\
The category of finite sets $\FSets$.\\
The category of small groups $\Grp$.\\
The category of small abelian groups $\Ab$.\\
The category of small left $R$-modules $R\Mod$.\\
The category of small $\kk$-vector spaces $\Vct_{\kk}$.\\
The category of small finitely generated $\kk$-vector spaces $\FVct_{\kk}$.\\
The category of schemes $\Sch$\\
The category of smooth schemes, over field $\kk$, $\Sm_{\kk}$\\
The category of $\bcA$-valued pre-sheaves on $\bcC$, $\PreC$.\\
The category of $\bcA$-valued sheaves on $\bcC_{\tau}$, $\ShvC$.\\
The motivic s-stable homotopy category $\SH_s^{\AF^1}(\kk)$.\\
The motivic stable homotopy category $\SH(\kk)$.\\
\section*{\tcb{Sheaves}}
Sheaves $\bcF,\bcG$.\\
Pre-sheaves $\bcP,\bcQ$.\\
Structure sheaf $\bcO$.\\
Sheaf of sections $\bcE$.\\
Sheaf of ideals $\bcI$.\\
Sheaf of relative differentials $\Omega$.\\
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Morphisms of sheaves $\phi,\psi$\\
